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Finding the Fourth Proportional to 213.59, 292.22 and 212.68

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Solution

The fourth proportional to 213.59, 292.22 and 212.68 is: 290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.59 : 292.22 = 212.68 : x
  2. Step 2: Convert to fraction form
    213.59/292.22 = 212.68/x
  3. Step 3: Cross multiply
    213.59x = 292.22 × 212.68
  4. Step 4: Simplify right side
    213.59x = 62,149.35
  5. Step 5: Solve for x
    x = 62,149.35/213.59
  6. Step 6: Final answer
    x = 290.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.